Let f be a scalar field and F a vector field. Describe each expression. (a) curl f scalar field vector field not meaningful (b) grad f scalar field vector field not meaningful (c) div F scalar field vector field not meaningful (d) curl(grad f) scalar field vector field not meaningful (e) grad F scalar field vector field not meaningful (f) grad(div F) scalar field vector field not meaningful (g) div(grad f) scalar field vector field not meaningful (h) grad(div f) scalar field vector field not meaningful (i) curl(curl F) scalar field vector field not meaningful (j) div(div F) scalar field vector field not meaningful (k) (grad f)

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

the answer is 11.2 (i know i’m late)

the answer should be:

a. 3, 4, and 6

b. 18, 24, and 36

c. 4.8, 6.4, and 9.6

hope i

-lavira : )